The attacks are an apparent effort by the militants to discourage Iraqi voters from going to the polls tomorrow in the first nationwide balloting since the 2011 withdrawal of US forces.
Today's attack took place in the town of Sadiyah, 140 kilometers northeast of Baghdad, a police officer said.
One of the bombs was placed in the middle of the town's main vegetable and meat market, he said, while the second was put near one of the exits presumably trying to strike people fleeing from the first blast, a tactic widely used by insurgents in order to inflict as many casualties as possible.
Also, a bomb explosion at a small market killed two people and wounded eight others in Baghdad's western suburb of Abu Ghraib, he added.
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Later on, police said two mortar shells landed on a residential area in Sabaa al-Bour, just north of Baghdad, killing two people and wounding eight.
And a mortar shell landed on a residential area in Baghdad's western Sunni district of Ghazaliyah, killing one person and wounding 11 others, said police.
No group immediately claimed responsibility for the attacks, which bore the hallmarks of al-Qaida-inspired Sunni militants seeking to undermine the Shiite-led government's efforts to maintain security across the country ahead of tomorrow's polling.